Extensions 1→N→G→Q→1 with N=C₃² and Q=D₆

Direct product G=N×Q with N=C₃² and Q=D₆

		d	ρ	Label	ID
S₃×C₃×C₆		36		S3xC3xC6	108,42

Semidirect products G=N:Q with N=C₃² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊D₆ = C₃²⋊D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃²	9	6+	C3^2:D6	108,17
C₃²⋊₂D₆ = C₂×C₃²⋊C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃²	18	6+	C3^2:2D6	108,25
C₃²⋊₃D₆ = C₂×He₃⋊C₂	φ: D₆/C₂ → S₃ ⊆ Aut C₃²	18	3	C3^2:3D6	108,28
C₃²⋊₄D₆ = C₃²⋊₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃²	12	4	C3^2:4D6	108,40
C₃²⋊₅D₆ = C₃×S₃²	φ: D₆/S₃ → C₂ ⊆ Aut C₃²	12	4	C3^2:5D6	108,38
C₃²⋊₆D₆ = S₃×C₃⋊S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃²	18		C3^2:6D6	108,39
C₃²⋊₇D₆ = C₆×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃²	36		C3^2:7D6	108,43
C₃²⋊₈D₆ = C₂×C₃³⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃²	54		C3^2:8D6	108,44

Non-split extensions G=N.Q with N=C₃² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₆ = C₂×C₉⋊C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃²	18	6+	C3^2.D6	108,26
C₃².₂D₆ = S₃×D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃²	18	4+	C3^2.2D6	108,16
C₃².₃D₆ = C₆×D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃²	36	2	C3^2.3D6	108,23
C₃².₄D₆ = C₂×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃²	54		C3^2.4D6	108,27

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